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Finding the Third Proportional to 150,878 and 226,695

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Solution

The third proportional to 150,878 and 226,695 is: 340,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,878 : 226,695 = 226,695 : x
  2. Step 2: Convert to fraction form
    150,878/226,695 = 226,695/x
  3. Step 3: Cross multiply
    150,878x = 226,695 × 226,695
  4. Step 4: Simplify right side
    150,878x = 51,390,623,025
  5. Step 5: Solve for x
    x = 51,390,623,025/150,878
  6. Step 6: Final answer
    x = 340,610.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.